Traditionally, Cubano sandwiches feature thinly sliced roast pork along with the customary ham and Swiss cheese, but considering that few of us tend to have leftover roast pork, we searched for an alternative. In the end, we settled on pork cutlets. Since they are readily available, quick cooking, and flavorful, pork cutlets were the secret to our homemade Cubano sandwiches and well worth the 10 minutes it took to cook them just to make the sandwiches.
Season the pork cutlets liberally with salt and pepper. Heat 2 teaspoons of the oil in a 12-inch nonstick skillet over medium-high heat until just smoking. Add half of the pork cutlets and cook until golden brown on both sides, about 10 minutes per side. Transfer the cooked cutlets to a plate. Add the remaining 2 teaspoons oil to the skillet, return to medium-high heat until just smoking, and cook the remaining cutlets. Transfer the cutlets to the plate, then wipe the skillet clean with a wad of paper towels.
Hollow out the inside of the rolls by removing some of the interior crumb from both the top and bottom crusts. Spread mustard liberally inside each hollow. Assemble 4 sandwiches by layering the ingredients into the rolls as follows: 1 tablespoon pickles, 1 slice Swiss cheese, 2 slices ham, 2 cutlets, 1 more slice Swiss cheese, and finally 1 more tablespoon pickles. Press gently on the sandwiches to set.
Brush the tops of the sandwiches with half of the melted butter. Lay them buttered-side down in a 12-inch nonstick skillet over medium-low heat. Place a large Dutch oven on top of the sandwiches and cook until crisp and golden, about 4 minutes.
Remove the Dutch oven, brush the sandwiches lightly with some of the remaining butter, and flip them over. Replace the Dutch oven on top of the sandwiches and cook until the second side is crisp and golden, about 4 minutes.
Thinly sliced leftover pork can be substituted for the pork cutlets. If you can't fit all 4 sandwiches in the skillet at once, cook them in batches and hold the first batch in a warm oven.
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